Stable pseudoisotopy spaces of compact nonpositively curved manifolds
type: Item
instance of: scholarly article
title: Stable pseudoisotopy spaces of compact nonpositively curved manifolds
zbMATH Open document ID: 0749.53022
published in: Journal of Differential Geometry
publication date: 1992-09-26T00:00:00Z
review text: The main result is that the space of stable pseudoisotopies of any compact Riemannian manifold with nonpositive sectional curvature can be computed from the stable pseudoisotopy spectrum of the circle. This formula involves the homology spectrum of the space of all closed geodesics on the manifold. The results were announced in [Bull. Am. Math. Soc. 22, No. 1, 59-64 (1990; Zbl 0703.57018)]. In the special case of negatively curved manifolds the results of the paper were proved earlier by the authors.
reviewed by: Hans-Bert Rademacher
Mathematics Subject Classification ID: 53C20
Mathematics Subject Classification ID: 53C22
Mathematics Subject Classification ID: 55N20
zbMATH DE Number: 54931
zbMATH Keywords: stable pseudoisotopy spectrum of the circle
zbMATH Keywords: closed geodesics
zbMATH Keywords: nonpositive sectional curvature
author: F. Thomas Farrell
author: Lowell Jones
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.4310/jdg/1214447541
OpenAlex ID: W1557871630
Wikidata QID: Q115181418
DOI: 10.4310/JDG/1214447541
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description: scientific article; zbMATH DE number 54931